Indices and standard form

# 3 mep y9 practice book a and in general a n 1 an for

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Unformatted text preview: integer values of n. The three rules at the start of section 3.2 can now be used for any integers m and n, not just for positive values. Example 1 Calculate, leaving your answers as fractions: (a) 3 −2 (b) 2 −1 − 4 −1 (b) 6 4 × 6 −3 5 −3 (c) Solution 1 32 1 = 9 (a) 3 −2 = (b) 2 −1 − 4 −1 = (c) 5 −3 = 11 − 24 1 = 4 1 53 1 = 125 Example 2 Simplify: (a) 67 69 Solution (a) 67 = 67−9 9 6 = 6 −2 = (b) 1 1 = 2 36 6 6 4 × 6 − 3 = 6 4 + ( − 3) = 6 4 − 3 = 61 = 6 46 (c) (10 ) 2 −3 MEP Y9 Practice Book A (c) (10 ) 2 −3 = 10 − 6 = 1 10 6 = 1 1000 000 Exercises 1. Write the following numbers as fractions without using any indices: (a) (b) 2 −3 (c) 10 − 3 (d) 2. 4 −1 7 −2 (e) 4 −3 (f) 6 −2 Copy the following expressions and fill in the missing numbers: (a) (b) 1 1 = 100 10 (c) 1 1 = =9 81 9 (d) 1 1 = =2 16 2 (e) 3. 1 1 = =7 49 7 1 1 = 10 000 000 10 (f) 1 1 = =2 1024 2 = 10 Calculate: (a) 4 −1 + 3 −1 (b) 6 −1 + 2 −1 (c) 5 − 1 − 10 − 1 (d) 10 − 2 − 10 − 3 (e) 4. = 10 4 − 1 − 10 − 1 (f) 6 −1 + 7 −1 Simplify the following expressions giving your answers in the form of a number to a power: (a) 4 7 × 4 −6 (b) 5 7 × 5 −3 (c) 74 7 −6 (d) (3 ) (e) (6 ) (f) 8 4 × 8 −9 (g) 72 7 −2 (h) 89 8 −9 −2 −3 47 2 −4 3.3 MEP Y9 Practice Book A 5. Copy each of the following expressions and fill in the missing numbers; (a) (b) 1 = 10 100 (c) 1 =5 125 (d) 5 =5 54 (e) 6. 1 =3 9 62 =6 63 (f) 22 =2 2 10 Simplify the following expressions: (a) (b) x7 x9 (c) x4 x8 (d) (x ) (e) 7. x8 x3 1 2 x (f) (x ) 4 6 −8 −4 3 Copy and complete the following statements: (a) (b) 0.25 = 2 (c) 0.0001 = 10 (d) 0.2 = 5 (e) 8. 0.1 = 10 0.001 = 10 (f) 0.02 = 50 Copy the following expressions and fill in the missing numbers: x4 (a) = x2 (b) x6× x = x2 x (c) x9× x = x2 (d) x7 = x −2 x (e) x3 = x4 (f) x 48 (x ) 3 = x−6 MEP Y9 Practice Book A 9. Copy the following expressions and fill in the missing numbers: (a) (b) 1 =5 25 (c) 10. 1 =2 8 1 =9 81 (d) 1 = 10 10 000 1 , express a as a power of c, withou...
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## This document was uploaded on 03/03/2014 for the course O-LEVEL Mathematic at Beaconhouse School System.

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